Well I would like a tank like that, I better throw away my skimmer!
But seriously, the tank is primarily softies, lps, gorgonians, which may prosper in that type of system. I presume it will have a major refugium plus chemical filtration such as carbon.
However it is interesting to note that the biggest commercial promoters of that type of skimmerless systems, Miracle Mud, have done an about face and now make and recommend skimmers.
Going skimmerless has it's applications, such as not removing food for gorgonians, but these are specialist areas for those with a particular interest. I think many new reefers start out thinking they can do it without a skimmer also, thinking this is "natural", but end up getting tired of cleaning algae off the glass every day and get a skimmer.
And Ray, good luck with getting the skimmer, but once you find something you like, do ask here before purchase. There are skimmers, and skimmers. Also, a skimmer will not clean up your tank overnight, but it is a major part of the long term strategy.